Abstract:
In this paper, a variational principle of Lagrange, the Ritz method and piecewise polynomial shape functions of brick family “linear” element are used to obtain reduced and selective integration techniques in a form of the tensor-block stiffness matrices to prevent the locking effect for nearly incompressible, isotropic and centrally symmetric material of the micropolar theory of elasticity.
Key words:micropolar continuum, Cosserat continuum, theory of asymmetric elasticity, variational principle, rotation gradient tensor, couple stress tensor, finite element method, stiffness matrix, incompressible elasticity, reduced and selective integration, locking effect, spurious zero-energy modes.
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